# The first boundary value problem for the vibrating string equation in domains with piecewise smooth boundary

Banach Center Publications (1992)

- Volume: 27, Issue: 2, page 317-321
- ISSN: 0137-6934

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top## How to cite

topLyashenko, A.. "The first boundary value problem for the vibrating string equation in domains with piecewise smooth boundary." Banach Center Publications 27.2 (1992): 317-321. <http://eudml.org/doc/262774>.

@article{Lyashenko1992,

author = {Lyashenko, A.},

journal = {Banach Center Publications},

keywords = {Dirichlet problem; necessary and sufficient conditions for the solvability; explicit formulae},

language = {eng},

number = {2},

pages = {317-321},

title = {The first boundary value problem for the vibrating string equation in domains with piecewise smooth boundary},

url = {http://eudml.org/doc/262774},

volume = {27},

year = {1992},

}

TY - JOUR

AU - Lyashenko, A.

TI - The first boundary value problem for the vibrating string equation in domains with piecewise smooth boundary

JO - Banach Center Publications

PY - 1992

VL - 27

IS - 2

SP - 317

EP - 321

LA - eng

KW - Dirichlet problem; necessary and sufficient conditions for the solvability; explicit formulae

UR - http://eudml.org/doc/262774

ER -

## References

top- [1] R. A. Aleksandryan, The spectral properties of the operator generated by a system of differential equations of S. L. Sobolev's type, Trudy Moskov. Mat. Obshch. 9 (1960), 455-505 (in Russian).
- [2] J. Hadamard, On some topics connected with linear partial differential equations, Proc. Benares Math. Soc. 3 (1921), 39-48. Zbl48.0574.03
- [3] F. John, The Dirichlet problem for a hyperbolic equation, Amer. J. Math. 63 (1) (1941), 141-154. Zbl0024.20304
- [4] A. A. Lyashenko, On a problem of S. L. Sobolev in domains with corners, preprint No. 27, Institute of Mathematics, Sib. Branch Acad. of Sci. of USSR, Novosibirsk 1987, 22 pp. (in Russian).
- [5] B. D. Sleeman, Boundary value problems for the vibrating string equation, Proc. Roy. Soc. Edinburgh Ser. A 88 (1-2) (1981), 185-194. Zbl0461.35055

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